Quintessence and effective AdS brane geometries

Abstract

A geometric torsion dynamics leading to an effective curvature in a second order formalism on a D4-brane is revisited with a renewed interest. We obtain two effective $Ad{S}_4$ brane geometries on a vacuum created pair of $(D\bar{D}{)}_3$-brane. One of them is shown to describe an AdS Schwarzschild spinning black hole and the other is shown to describe a spinning black hole bound state. It is argued that a D-instanton in a vacuum created anti D3-brane within a pair may describe a quintessence. It may seen to incorporate a varying vacuum energy density in a brane universe. We consider the effective curvature scalar on $S^1\times S^1$ to analyze torsion-less geometries on a vacuum created pair of $(D\bar{D}{)}_2$-brane. The emergent $Ad{S}_3$ brane is shown to describe a Schwarzschild and a Reissner-Nordstrom (RN) geometries in presence of extra dimension(s).

20 pages, expanded discussion and added reference

Cited by in corpus (1)

• Non-perturbative quantum effects in stringy degenerate geometries: Vacuum created pair of $(D\bar{D}{)}_3$-brane by a two form